108013240320 has 480 divisors, whose sum is σ = 366227059968. Its totient is φ = 27128758272.

The previous prime is 108013240319. The next prime is 108013240339. The reversal of 108013240320 is 23042310801.

108013240320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548290462 + ... + 548290658.

Almost surely, 2^108013240320 is an apocalyptic number.

108013240320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108013240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183113529984).

108013240320 is an abundant number, since it is smaller than the sum of its proper divisors (258213819648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

108013240320 is an equidigital number, since it uses as much as digits as its factorization.

108013240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 108013240320 in words is "one hundred eight billion, thirteen million, two hundred forty thousand, three hundred twenty".